EQUIVARIANT 3-MANIFOLDS WITH POSITIVE SCALAR CURVATURE

被引：0

作者：

Chow, Tsz-Kiu Aaron ^{[1
]}

Li, Yangyang ^{[2
,3
]}

机构：

[1] Columbia Univ, Dept Math, New York, NY 10027 USA

[2] Princeton Univ, Dept Math, Princeton, NJ USA

[3] Univ Chicago, Dept Math, Chicago, IL USA

来源：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 2024年 / 377卷 / 08期

关键词：

HEEGAARD-SPLITTINGS; HOMEOTOPY GROUPS;

D O I：

10.1090/tran/9181

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, for any compact Lie group G, we show that the space of G-equivariant Riemannian metrics with positive scalar curvature (PSC) on any closed three -manifold is either empty or contractible. In particular, we prove the generalized Smale conjecture for spherical three-orbifolds. Moreover, for connected G, we make a classification of all PSC G-equivariant threemanifolds.

引用

页码：5993 / 6020

页数：28

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